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Finding the Fourth Proportional to 1,372.14, 1,893.57 and 782.71

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Solution

The fourth proportional to 1,372.14, 1,893.57 and 782.71 is: 1,080.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,372.14 : 1,893.57 = 782.71 : x
  2. Step 2: Convert to fraction form
    1,372.14/1,893.57 = 782.71/x
  3. Step 3: Cross multiply
    1,372.14x = 1,893.57 × 782.71
  4. Step 4: Simplify right side
    1,372.14x = 1,482,102.79
  5. Step 5: Solve for x
    x = 1,482,102.79/1,372.14
  6. Step 6: Final answer
    x = 1,080.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.